



The conversion between Celsius (C) and Fahrenheit (F) is defined by the linear equation: \[ F = \frac{9}{5}C + 32. \] This represents a straight line with a slope of \( \frac{9}{5} \) and a y-intercept of 32. Consequently, at 0°C, the Fahrenheit temperature is 32°F. Therefore, the relationship between Celsius and Fahrenheit is a straight line with a positive slope that does not originate from (0,0) but intersects the Fahrenheit axis at 32°F. The correct representation among the given options is a line passing through the origin with a positive slope, mirroring the Celsius to Fahrenheit scale's relationship, albeit shifted from the origin.
Final Answer: Option (1).